for the solution of the nonlinear system of equations \( T(x) = 0 \)  is known to be
superlinearly or quadratically convergent to a solution \( x^* \) , if the solution is
BD-regular and \( T \)  satisfies an additional smoothness property called semismoothness
and strong semismoothness, respectively. For the precise definitions and proofs of
the previous statements, the interested reader is referred to the papers [1]}, [2]}
and the monograph [3]}.
